{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "qc3aNHrlNUgb"
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import torch\n",
    "except:\n",
    "    !pip install torch torchvision\n",
    "    import torch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "f7hLQ22Q2HTj"
   },
   "source": [
    "# RealNVP Network\n",
    "Arxiv link: https://arxiv.org/abs/1605.08803"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "-bwWXBCtMFeq"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "class RealNVP(torch.nn.Module):\n",
    "    '''\n",
    "    A Pytorch implement of RealNVP Network.\n",
    "    \n",
    "    Args:\n",
    "        num_vars(int): length of inputs.\n",
    "        num_layers(int): number of RealNVP layers.\n",
    "        hidden_s(int): number of hidden units of in each s layer.\n",
    "        hidden_t(int): number of hidden units of in each t layer.\n",
    "       \n",
    "    Attributes:\n",
    "        num_vars(int): length of inputs.\n",
    "        num_layers(int): number of RealNVP layers.\n",
    "        scale(nn.ModuleList): list of scale layers.\n",
    "        translation(nn.ModuleList): list of translation layers.\n",
    "    '''\n",
    "    def __init__(self, num_vars, num_layers=2, hidden_s=10, hidden_t=10):\n",
    "        super(RealNVP, self).__init__()\n",
    "        self.num_vars = num_vars\n",
    "        self.num_layers = num_layers\n",
    "\n",
    "        self.scale = torch.nn.ModuleList()\n",
    "        self.translation = torch.nn.ModuleList()\n",
    "        for i in range(self.num_layers):\n",
    "            if i != self.num_layers-1: # last layer of scale we use has a Tanh() activation to avoid exp() blowing up. \n",
    "                self.scale.append(\n",
    "                     torch.nn.Sequential(\n",
    "                     torch.nn.Linear(num_vars//2, hidden_s),\n",
    "                     torch.nn.ReLU(),\n",
    "                     torch.nn.Linear(hidden_s, num_vars//2)\n",
    "                     ))\n",
    "            else:\n",
    "                self.scale.append(\n",
    "                    torch.nn.Sequential(\n",
    "                    torch.nn.Linear(num_vars//2, hidden_s),\n",
    "                    torch.nn.ReLU(),\n",
    "                    torch.nn.Linear(hidden_s, num_vars//2),\n",
    "                    torch.nn.Tanh()\n",
    "                    ))\n",
    "            self.translation.append(\n",
    "                 torch.nn.Sequential(\n",
    "                 torch.nn.Linear(num_vars//2, hidden_t),\n",
    "                 torch.nn.ReLU(),\n",
    "                 torch.nn.Linear(hidden_t, num_vars//2)\n",
    "                 ))\n",
    "\n",
    "    def forward(self, z):\n",
    "        '''\n",
    "        Generate complex distribution from z sampled from gaussian distribution.\n",
    "        '''\n",
    "        y0 = z[:,:self.num_vars//2]\n",
    "        y1 = z[:,self.num_vars//2:]\n",
    "        self.logjac = z.new_zeros(z.shape[0]) # create Variable to store log(jacobian).\n",
    "        for i in range(self.num_layers):\n",
    "            if (i%2==0):\n",
    "                y1 = y1 * torch.exp(self.scale[i](y0))  + self.translation[i](y0)\n",
    "                self.logjac += self.scale[i](y0).sum(dim=1) # calculate log(jacobian).\n",
    "            else:\n",
    "                y0 = y0 * torch.exp(self.scale[i](y1)) +  self.translation[i](y1)\n",
    "                self.logjac += self.scale[i](y1).sum(dim=1)\n",
    "        return torch.cat((y0, y1), 1)\n",
    "\n",
    "    def inverse(self, x):\n",
    "        '''\n",
    "        Inference gaussian distribution from x sampled from complex distribution.\n",
    "        '''\n",
    "        y0 = x[:,:num_vars//2]\n",
    "        y1 = x[:,num_vars//2:]\n",
    "        self.logjac = x.new_zeros(x.shape[0]) # create Variable to store log(jacobian).\n",
    "        for i in reversed(range(self.num_layers)):\n",
    "            if (i%2==1):\n",
    "                y0 = (y0 - self.translation[i](y1)) * torch.exp(-self.scale[i](y1))\n",
    "                self.logjac -= self.scale[i](y1).sum(dim=1) # calculate log(jacobian)\n",
    "            else:\n",
    "                y1 = (y1 - self.translation[i](y0)) * torch.exp(-self.scale[i](y0))\n",
    "                self.logjac -= self.scale[i](y0).sum(dim=1)\n",
    "        return torch.cat((y0, y1), 1)\n",
    "\n",
    "    def logp(self, x):\n",
    "        '''\n",
    "        Calculate x's log(probability).\n",
    "        '''\n",
    "        z = self.inverse(x)\n",
    "        return -0.5*(z**2).sum(dim=1) + self.logjac # add accumulated log(jacobian) to gaussian distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "lRfQquJW17-2"
   },
   "source": [
    "## Bijective Check\n",
    "\n",
    "(New line of test added to check if $Log(Jacobian)$ is equal between generate and inference process.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "xAZEpClLNh-o"
   },
   "outputs": [],
   "source": [
    "num_vars = 4 \n",
    "model = RealNVP(num_vars) \n",
    "z = torch.randn(1000,num_vars)\n",
    "\n",
    "x = model.forward(z) # generate a new dataset.\n",
    "x_logjac = model.logjac # record log(Jacobian) in generate process.\n",
    "\n",
    "z_infer = model.inverse(x) # inference back to the original dataset.\n",
    "z_infer_logjac = model.logjac # record log(Jacobian) in inference process.\n",
    "\n",
    "from numpy.testing import assert_array_almost_equal\n",
    "assert_array_almost_equal(z_infer.detach().numpy(),z.detach().numpy()) # test if they are the same.\n",
    "assert_array_almost_equal(x_logjac.detach().numpy(),-z_infer_logjac.detach().numpy()) # abs(log(Jacobian)) should be same."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "XLaQQcq52wOQ"
   },
   "source": [
    "## Training Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "base_uri": "https://localhost:8080/",
     "height": 550,
     "output_extras": [
      {
       "item_id": 2
      },
      {
       "item_id": 3
      }
     ]
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 35916,
     "status": "ok",
     "timestamp": 1519174591047,
     "user": {
      "displayName": "li li",
      "photoUrl": "//lh5.googleusercontent.com/-EpOiByGU5dA/AAAAAAAAAAI/AAAAAAAAACc/ZQHNZAF7xMQ/s50-c-k-no/photo.jpg",
      "userId": "118127190614979245201"
     },
     "user_tz": -60
    },
    "id": "WrKOgx-FNlPH",
    "outputId": "ed331e5b-8e7e-4202-bd29-1872f54aca76"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2018-05-07 17:37:19--  https://pastebin.com/raw/JWgv53pd\n",
      "正在解析主机 pastebin.com (pastebin.com)... 104.20.208.21, 104.20.209.21\n",
      "正在连接 pastebin.com (pastebin.com)|104.20.208.21|:443... 已连接。\n",
      "已发出 HTTP 请求，正在等待回应... 200 OK\n",
      "长度：未指定 [text/plain]\n",
      "正在保存至: “train.dat”\n",
      "\n",
      "train.dat               [ <=>                ] 180.85K  --.-KB/s  用时 0.1s      \n",
      "\n",
      "2018-05-07 17:37:20 (1.21 MB/s) - “train.dat” 已保存 [185188]\n",
      "\n"
     ]
    },
    {
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FxdxFS6WVnpquc3raY1N37oLuJccUPD88SZQogihmqhaSKAWkgnItkiVm+cV3JYrmc288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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10378d080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.mlab import griddata\n",
    "\n",
    "!wget https://pastebin.com/raw/JWgv53pd -O train.dat # download and load training data.\n",
    "  \n",
    "xy = np.loadtxt('./train.dat', dtype=np.float32) \n",
    "x_data = torch.from_numpy(xy).to(torch.float32)\n",
    "num_vars = x_data.shape[-1]\n",
    "\n",
    "plt.figure() # plot training date.\n",
    "plt.scatter(x_data[:,0], x_data[:,1], alpha=0.5, label='Ring2D')\n",
    "plt.legend()\n",
    "\n",
    "plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "plt.ylim([-5, 5])\n",
    "\n",
    "plt.xlabel('$x_1$') # label axes.\n",
    "plt.ylabel('$x_2$')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "xDUe40aiNo2Z"
   },
   "outputs": [],
   "source": [
    "torch.manual_seed(10086)\n",
    "\n",
    "num_epochs = 800 # define parameters of RealNVP network.\n",
    "num_layers = 4\n",
    "hidden_t = 10\n",
    "hidden_s = 10\n",
    "num_samples = 2000\n",
    "\n",
    "model = RealNVP(num_vars, num_layers,hidden_s,hidden_t) # define RealNVP instance and optimizer.\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=0.01, weight_decay=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "base_uri": "https://localhost:8080/",
     "height": 2441,
     "output_extras": [
      {
       "item_id": 17
      },
      {
       "item_id": 18
      },
      {
       "item_id": 19
      },
      {
       "item_id": 20
      },
      {
       "item_id": 21
      },
      {
       "item_id": 22
      },
      {
       "item_id": 23
      }
     ]
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 72037,
     "status": "ok",
     "timestamp": 1519174664946,
     "user": {
      "displayName": "li li",
      "photoUrl": "//lh5.googleusercontent.com/-EpOiByGU5dA/AAAAAAAAAAI/AAAAAAAAACc/ZQHNZAF7xMQ/s50-c-k-no/photo.jpg",
      "userId": "118127190614979245201"
     },
     "user_tz": -60
    },
    "id": "NXcQ-zcWNr1b",
    "outputId": "007ba6a5-c939-4781-f20e-814d0ff5b4ce"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch: 0 loss: 4.805755138397217\n",
      "epoch: 50 loss: 1.6548107862472534\n",
      "epoch: 100 loss: 1.4469808340072632\n",
      "epoch: 150 loss: 1.399949312210083\n",
      "epoch: 200 loss: 1.3778932094573975\n",
      "epoch: 250 loss: 1.3630415201187134\n",
      "epoch: 300 loss: 1.3390930891036987\n",
      "epoch: 350 loss: 1.3238091468811035\n",
      "epoch: 400 loss: 1.3112956285476685\n",
      "epoch: 450 loss: 1.3000178337097168\n",
      "epoch: 500 loss: 1.2997483015060425\n",
      "epoch: 550 loss: 1.2843025922775269\n",
      "epoch: 600 loss: 1.2785871028900146\n",
      "epoch: 650 loss: 1.2780630588531494\n",
      "epoch: 700 loss: 1.2811592817306519\n",
      "epoch: 750 loss: 1.2690441608428955\n",
      "epoch: 800 loss: 1.2660818099975586\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110aeefd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MnwLwKQCYf/TXczx9fa2UTfVCCH1oB+IRAxAJ/MFH0NcWutqDazU9dId6cI9B0gdSfSSQ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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110ac00b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BL17fmmgaXJguITWH2ekT9K65l+LseSwzQmH8GPblIeLnjhCbnaFavEDFqVLp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\nuYEsIV+oMXBS5BiDwZCqEC18245TKBJZ6o1lQHohpW23Uz/y/UKqQvT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770Mo1Vv9m2w3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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b18a518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kPlE8AjA/Y1gOueTnglFPvfFt4vt+fskM4U62w5ZL3t/JLKLaflUYqu4lt6bv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aU6fA7puiwwZnVGQYhfRb4yyGVEV+8kueuTlC4eDD/beTbVoPrIZGHfikbQ821iMIPJOAIbZ3YU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\nBhER8VAxiIiIx/8C3DKJv3pdHCUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11537da58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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omYUeTQICNzdEdegske6lnPurz77D16J4u9w0Pgbh72b2ZWBMSvkH11NGCcMv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M+dxPYX/hCAtsQKyoWgp7MQgnTTYgaOBWUKWsJtpNq68YsTSM3AisSJIZl47Tv4TnCX5wkdgU50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\neQLiUa5c3EEs3kFL2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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1155a9f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qW2RGjhOL92MZEUoyR6ZjOzOVKxhGkOTQNmYnjuNt3EVu9DCJez7N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\nH0FKiQrbiJQv2r72DlGzgaObKDwSkSduLlL51G+kVzGYqJaJxKiYuDY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9vze2g9rTX0uJ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NeBjl6yO57AvnYCgSAxvJPS63+HXZxACI1k/zC1d54l+NEGqYlm5yoKL/512H2rHcGPOr39kbYm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\nEEK0kWAQQgjRRoJBCCFEGwkGIYQQbSQYh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ed74278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = [] # L will be a list of losses for plotting.\n",
    "\n",
    "f = plt.figure() # create a figure and an axis to plot loss curve.\n",
    "ax = f.add_subplot(1,1,1)\n",
    "\n",
    "xi = np.linspace(-5, 5, num_samples) # generate xi yi for mesh grid.\n",
    "yi = np.linspace(-5, 5, num_samples)\n",
    "\n",
    "for epoch in range(num_epochs+1):\n",
    "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
    "    logp = model.logp(x_data)\n",
    "    loss = -logp.mean() # get NLL loss for training.\n",
    "    \n",
    "    if epoch%50 == 0:\n",
    "      print(\"epoch:\",epoch,\"loss:\",loss.item())\n",
    "      \n",
    "    if epoch%200 == 0:\n",
    "      \n",
    "      ft = plt.figure() # create a figure and an axis to plot generated sample points.\n",
    "      axt = ft.add_subplot(1,1,1)\n",
    "      axt.set_title(\"epoch:%g\"%(epoch))\n",
    "      \n",
    "      z = torch.randn(num_samples, num_vars)\n",
    "      x = model.forward(z)\n",
    "      logp = model.logp(x) # get log(probability) of each sampled point.\n",
    "      \n",
    "      zi = griddata(x[:,0].detach().numpy(), x[:,1].detach().numpy(), logp.detach().numpy(), xi, yi, interp='linear')\n",
    "      plt.contour(xi, yi, zi, 15, linewidths=0.5, colors='k')\n",
    "      plt.contourf(xi, yi, zi, 15,vmax=abs(zi).max(), vmin=-abs(zi).max())\n",
    "      axt.scatter(x[:,0].detach().numpy(), x[:,1].detach().numpy(), alpha=0.5, label='generated') # generated mesh data and plot contour.\n",
    "      \n",
    "      plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "      plt.ylim([-5, 5])\n",
    "\n",
    "      plt.xlabel('$x_1$') # label axes.\n",
    "      plt.ylabel('$x_2$')\n",
    "      \n",
    "    L.append(loss.detach().numpy()) # at each epoch add new loss to L\n",
    "    \n",
    "    optimizer.zero_grad() # do the training of model's parameters.\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    \n",
    "ax.plot(range(len(L)),np.array(L),label = 'loss') # plot the loss curve.\n",
    "ax.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "base_uri": "https://localhost:8080/",
     "height": 363,
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 39912,
     "status": "ok",
     "timestamp": 1519174704990,
     "user": {
      "displayName": "li li",
      "photoUrl": "//lh5.googleusercontent.com/-EpOiByGU5dA/AAAAAAAAAAI/AAAAAAAAACc/ZQHNZAF7xMQ/s50-c-k-no/photo.jpg",
      "userId": "118127190614979245201"
     },
     "user_tz": -60
    },
    "id": "W6ixLj5gNuxJ",
    "outputId": "a0bad8c5-a658-466a-f8fe-ac62341eddfd"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pfrjmjpa5aNY+YdZSQM1w6GsMIPvya9k5ux+IB8GaZpOOApyoQKjpvDiwBYAb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\nlyUcTNcQPQEdjSCW3kA1TSLtbIl0cVXO7vYSnlGk0iMqMu5qXCSRPo6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veNTVGLMAvOff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4RA1ZpkK8cIrl3i5GCN/rEjXO+M8aWgko4Yt+cnXKCDpNgPYzcOE8ObPEpyXC/Jma+HXN4c3rVS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110c86278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = torch.randn(num_samples, num_vars) # create a random dataset to perform testing.\n",
    "x = model.forward(z)\n",
    "\n",
    "plt.figure() # plot training data along with generated data.\n",
    "plt.scatter(x_data[:,0], x_data[:,1], alpha=0.5, label='original')\n",
    "plt.scatter(x[:,0].detach().numpy(), x[:,1].detach().numpy(), alpha=0.5, label='generated',c='#CC3333')\n",
    "plt.legend()\n",
    "\n",
    "plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "plt.ylim([-5, 5])\n",
    "\n",
    "plt.xlabel('$x_1$') # label axes.\n",
    "plt.ylabel('$x_2$')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "BgGxj3P8OsOO"
   },
   "source": [
    "# More reference:\n",
    "1. https://blog.evjang.com/2018/01/nf1.html\n",
    "2. https://blog.evjang.com/2018/01/nf2.html"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "default_view": {},
   "name": "realnvp.ipynb",
   "provenance": [],
   "version": "0.3.2",
   "views": {}
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
